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Finding the Fourth Proportional to 23,813.91, 32,864.22 and 13,203.54

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Solution

The fourth proportional to 23,813.91, 32,864.22 and 13,203.54 is: 18,221.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,813.91 : 32,864.22 = 13,203.54 : x
  2. Step 2: Convert to fraction form
    23,813.91/32,864.22 = 13,203.54/x
  3. Step 3: Cross multiply
    23,813.91x = 32,864.22 × 13,203.54
  4. Step 4: Simplify right side
    23,813.91x = 433,924,043.34
  5. Step 5: Solve for x
    x = 433,924,043.34/23,813.91
  6. Step 6: Final answer
    x = 18,221.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.